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13124141444430 = 2325236340164949
BaseRepresentation
bin1011111011111011001111…
…0010011110110101001110
31201110122200222112022111200
42332332303302132311032
53210011220202210210
643525051454330330
72523121313434662
oct276766362366516
951418628468450
1013124141444430
1141aaa0a777365
12157b6684b99a6
137427a7b88b03
143352d73c08a2
1517b5c80020c0
hexbefb3c9ed4e

13124141444430 has 48 divisors (see below), whose sum is σ = 35606366359200. Its totient is φ = 3347607092544.

The previous prime is 13124141444417. The next prime is 13124141444527. The reversal of 13124141444430 is 3444414142131.

13124141444430 is a `hidden beast` number, since 1 + 31 + 2 + 4 + 141 + 44 + 443 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3170080405 + ... + 3170084544.

It is an arithmetic number, because the mean of its divisors is an integer number (741799299150).

Almost surely, 213124141444430 is an apocalyptic number.

13124141444430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13124141444430 is an abundant number, since it is smaller than the sum of its proper divisors (22482224914770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13124141444430 is a wasteful number, since it uses less digits than its factorization.

13124141444430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340164985 (or 6340164982 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13124141444430 its reverse (3444414142131), we get a palindrome (16568555586561).

The spelling of 13124141444430 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-one million, four hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 6340164949 12680329898 19020494847 31700824745 38040989694 57061484541 63401649490 95102474235 114122969082 145823793827 190204948470 285307422705 291647587654 437471381481 570614845410 729118969135 874942762962 1312414144443 1458237938270 2187356907405 2624828288886 4374713814810 6562070722215 13124141444430